Question
A park has the shape of a regular hexagon of sides 2 m each. Ram walks a distance of 5 m around the perimeter. What is the direct distance between the start point and the end point?
Answer: Option B
:
B
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B
Vertex angle for regular hexagon = 180∘(6−2)6=30∘×4=120∘
In the ΔABC, ∠ACB = ∠CAB = 30∘
We know 30∘ - 60∘ - 90∘ = 1 : √3 : 2 ; AC = 2√3
Now, from ΔACD:-
12 + (2√3)2 = AD2;AD = √13.Option (b)
The starting point of Ram is A and end point is D.
Alternate Solution:
The answer option will have to be between 2√3 and 4 i.e. between √12 and √16.
Only option (b) fulfils the given condition and hence option (b) is the correct answer choice.
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